(22.09) All euros have a national image on the \"heads\" side and a common desig

Question

(22.09) All euros have a national image on the "heads" side and a common design on the "tails" side. Spinning a coin, unlike tossing it, may not give heads and tails with equal probabilities. Polish students spun the Belgian euro 240 times, with its portly king, Albert, displayed on the heads side. The result was 134 heads.

Test the hypothesis that the proportion of times a Belgian Euro coin spins heads equals 50% at alpha = 0.04 .

The test statistic is z =  with P-value . (Use three decimals on both.)

The null hypothesis is:

4.

(22.09) All euros have a national image on the "heads" side and a common design on the "tails" side. Spinning a coin, unlike tossing it, may not give heads and tails with equal probabilities. Polish students spun the Belgian euro 240 times, with its portly king, Albert, displayed on the heads side. The result was 134 heads.

Test the hypothesis that the proportion of times a Belgian Euro coin spins heads equals 50% at alpha = 0.04 .

The test statistic is z =  with P-value . (Use three decimals on both.)

The null hypothesis is:

not rejected rejected

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p ? 0.5

Hypothesis test results:

Hence,

z = 1.807

P - value = 0.071

Rejected

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 134 240 0.55833333 0.032274861 1.8073922 0.0707

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